Atkin-Lehner |
3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7935d |
Isogeny class |
Conductor |
7935 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-95760715696875 = -1 · 32 · 55 · 237 |
Discriminant |
Eigenvalues |
0 3+ 5- -1 -4 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-386875,92750133] |
[a1,a2,a3,a4,a6] |
Generators |
[859:19837:1] |
Generators of the group modulo torsion |
j |
-43258336804864/646875 |
j-invariant |
L |
2.6647496212098 |
L(r)(E,1)/r! |
Ω |
0.54895997901131 |
Real period |
R |
0.12135445766051 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126960cz1 23805i1 39675z1 345a1 |
Quadratic twists by: -4 -3 5 -23 |